A257578 Continued square root map applied to fourth powers: 1, 2^4, 3^4, 4^4, ...

2, 4, 6, 7, 4, 0, 4, 5, 3, 1, 7, 1, 7, 7, 9, 3, 1, 0, 6, 7, 4, 7, 9, 9, 0, 6, 4, 9, 5, 6, 3, 7, 7, 9, 9, 2, 9, 8, 5, 4, 7, 9, 6, 3, 9, 1, 7, 2, 2, 3, 8, 4, 1, 0, 1, 7, 8, 2, 2, 1, 0, 5, 8, 9, 8, 1, 2, 4, 6, 3, 9, 0, 9, 8, 1, 1, 9, 5, 5, 4, 4, 0, 3, 4, 3, 0, 6

Offset

1,1

Comments

The continued square root map applied to a sequence b(1), b(2), b(3), ... produces the decimal number sqrt(b(1)+sqrt(b(2)+sqrt(b(3)+sqrt(b(4)+...)))).

Links

Hiroaki Yamanouchi, Table of n, a(n) for n = 1..1000

Herman P. Robinson, The CSR Function, Popular Computing (Calabasas, CA), Vol. 4 (No. 35, Feb 1976), pages PC35-3 to PC35-4. Annotated and scanned copy.

Example

2.4674045317177931067479906...

Crossrefs

Cf. A000583 (the fourth powers).

Sequence in context: A132426 A072646 A091476 * A272665 A114431 A167689

Adjacent sequences: A257575 A257576 A257577 * A257579 A257580 A257581

Keyword

nonn,cons

Author

N. J. A. Sloane, May 02 2015

Extensions

a(27)-a(87) from Hiroaki Yamanouchi, May 03 2015

Status

approved